what is 15 divided by 2590 I will give you 55 you will get it

Answer:

Step-by-step explanation:

The consumer will consume M/2 units of both goods X and Y to maximize utility, given the budget constraint.

To find the quantities of X and Y that maximize the consumer's utility subject to the budget constraint, we can use the Lagrange multiplier method. Let's set up the problem:

Maximize u(x, y) = cxy, subject to the constraint g(x, y) = M - x - y = 0.

We introduce a Lagrange multiplier λ and form the Lagrangian function L(x, y, λ) = cxy + λ(M - x - y).

To find the critical points, we take the partial derivatives and set them equal to zero:

∂L/∂x = cy - λ = 0,

∂L/∂y = cx - λ = 0,

∂L/∂λ = M - x - y = 0.

From the first two equations, we have cy - λ = cx - λ, which implies cx = cy. Dividing both sides by c gives x = y.

Substituting this into the third equation, we get M - x - x = 0, which simplifies to M - 2x = 0. Solving for x, we have x = M/2.

Since x = y, the optimal quantities are x = y = M/2. Therefore, the consumer will consume M/2 units of both goods X and Y in order to maximize utility, given the budget constraint.

Note: The specific values of c and M will determine the actual quantities consumed.

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Answer:

Four (4) terms.

Step-by-step explanation:

36x³ + 27x² - \(18x^{1}\) - \(9x^{0}\)

The gives four terms.

Starting the formation of groups of four bits at the binary point instead of the left end of the number facilitates conversion between binary and decimal numbers, improves organization and readability, simplifies calculations, and aligns the binary number with its decimal equivalent.

When working with binary numbers, it is more common and practical to start forming groups of four bits at the binary point rather than the left end of the number.

The binary point is the equivalent of the decimal point in a binary number system. Starting at the binary point allows for easier conversion between binary and decimal numbers, as well as better organization and readability of large binary numbers.

Forming groups of four bits at the binary point allows us to convert each group into a decimal equivalent. These decimal values can then be added together to obtain the final decimal representation of the binary number.

By starting at the binary point, we can work with smaller groups of bits at a time, which simplifies calculations and reduces the chances of errors. This approach also enables us to track the place value of each group more efficiently.

Additionally, starting at the binary point helps in aligning the binary number with its decimal equivalent. This alignment is crucial when performing arithmetic operations such as addition, subtraction, multiplication, or division on binary numbers.

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Observe that 5 out of the 7 rectangles are shaded with sky blue

2 out of 7 rectangles are shaded with deep blue

Observe that the deep blue rectangles can be taken twice out the sky blue rectangles

Doing this makes it 4 rectangles, remainder 1

This translates that the answer is 2 1/2

Answer:

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Answer: The solutions of the absolute value equation are given by:

x = -41 and x = 49.

What is the absolute value function?

The absolute value function is defined by:

|x| = x, x >= 0.

|x| = -x, x < 0.

The absolute value function measures the distance of a point x to the origin, that is, the distance to x = 0. From this, we get that |x| = a can mean either that:

x = a, or;

x = -a.

In this problem, the equation is given by:

Hence:

0.2|x - 4| = 9

|x - 4| = 45

The first possible solution is:

x - 4 = 45

x = 49.

The second possible solution is:

-x + 4 = 45

-x = 41

x = -41.

Hence the solutions are x = -41 and x = 49.

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Step-by-step explanation:

Answer:

24\(x^{2}\) - 2x - 15

Step-by-step explanation:

f(x) = 4x + 3

g(x) = 6x - 5

(4x + 3) (6x - 5)

24\(x^{2}\) - 20x + 18x - 15

24\(x^{2}\) - 2x - 15

Answer:

try 40

Step-by-step explanation:

We can use the polar equation r = f(θ) to sketch the curve. However, since you have only provided the value of θ as −π/6, we cannot determine the shape of the curve without knowing the equation of the function f(θ).

In order to sketch the curve, we need to plot at least three points on the polar coordinate plane. We can do this by selecting three different values of θ, plugging them into the polar equation, and finding the corresponding values of r. We can then plot these points and connect them to form the curve.

Answer:
1. First, recall that in polar coordinates, a point is represented by (r, θ), where r is the distance from the origin, and θ is the angle measured counter-clockwise from the positive x-axis.
2. In this case, the polar equation is given as θ = -π/6, which means the angle is fixed at -π/6 radians, or -30 degrees.
3. Since r can take any value, this curve is a straight line consisting of all points that are located at a -30-degree angle from the positive x-axis. To visualize this, imagine a ray starting at the origin and rotating -30 degrees in the clockwise direction.

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Answer:

y = -5, x = 4

The value of a are; a = 6

Since Perpendicular lines have a slope that is negative reciprocal of each other. There product = -1

Solve both equations for y.

2x+3y=7                             x-8y=7

3y = ax + 7                                 8y = -4x + 2

y = ax/3 + 8/3                               y = -4x/8 + 2/8

y = a/3(x) + 8/3                              y = -1/2(x) + 1/4

Now we know that the slope;

y = -1/2(x)+ 1/4  is -1/2

Then the slope of y = a/3(x) + 8/3 is a/3.  

Now the value of "a" will make the lines perpendicular.

You know that one line slope is -1/2 so the other line slope is 2 because the slope are negative reciprocal.  

Thus remember that the slope is the coefficient of the x term.

Now   a/3 = 2 ; a = 6  

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(a) Confidence Interval: (0.576, 0.624)

(b) Source: Pew Research Center. "Views of Gun Policy by Party, Ideology." Retrieved from: https://www.pewresearch.org/fact-tank/2021/06/08/support-for-stricter-gun-control-declines-from-2019-levels/

(c) This confidence interval is trying to estimate the proportion of U.S. adults who support stricter gun control laws in 2021.

(d) The confidence interval was published by Pew Research Center, a nonpartisan fact tank that conducts public opinion polling, demographic research, and content analysis. Their purpose was to provide an understanding of the American public's views on gun control policies.

(e) Confidence Level: 95%; Sample Size: 5,109 U.S. adults; Sampling Method: Random sampling.

(f) The sample for this study were the 5,109 U.S. adults who participated in the survey. The population for the study is the entire U.S. adult population.

(g) The transparency and trustworthiness of the figures used are quite high, as Pew Research Center is a well-known and reputable organization that follows strict methodology and data quality guidelines. They provide information on their sampling method, sample size, and confidence level, which allows readers to assess the reliability of their findings.

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Answer:

Step-by-step explanation:

Given:

Area is:

\( \bf \underline{ \underline{Given : }}\)

\( \bf \underline{ \underline{To \: Find \: Out:}}\)

Find the area of given rectangle.

\( \bf \underline{ \underline{Solution:}}\)

As we know that,

Area of rectangle = Length × Width

\( \rightarrow \: 4 \sqrt{2} \times 3 \sqrt{2} \)

\( \rightarrow \: 12 (\sqrt{2}) {}^{2} \)

\( \rightarrow \: 12 \times 2\)

\( \rightarrow \boxed{24 \: sq. \: inches}\)

Answer

Decay factor is 0.88

Step-by-step explanation:

Given the following

The initial value = $210,000

rate = 12%

The decay factor is expressed as

b = 1 - r

r = 12%

r = 0.12

Decay factor = 1 - r

Decay factor = 1 - 0.12

Decay factor = 0.88

Answer:

Points

Step-by-step explanation:

Given 169 points inside a regular triangle with a side length of 100, we can prove that among the selected points, there will always be three that form a triangle with an area at most 68.

To prove this, we can use the concept of the Pigeonhole Principle. In this case, we consider the regular triangle as divided into smaller triangles with a side length of 1 unit. Since the side length of the larger triangle is 100 units, there are a total of 100^2 = 10,000 smaller triangles.

Now, let's assume that we can select 169 points inside the regular triangle without forming a triangle with an area at most 68. This means that in each of the 10,000 smaller triangles, we can place at most one point. However, 10,000 smaller triangles can accommodate at least 10,000 points.

According to the Pigeonhole Principle, if there are more pigeons (points) than there are pigeonholes (smaller triangles), then at least one pigeonhole must contain more than one pigeon. In our case, we have 10,000 points and 10,000 smaller triangles, so there must exist a smaller triangle containing more than one point.

Considering three points within this smaller triangle, we can form a triangle with a non-zero area. Since the area of any triangle is a positive value, it is guaranteed that among the selected 169 points, there will always be three that form a triangle with an area at most 68.

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Part I: Recalling the "Volume of cone" formula

Given:

Formula (Volume of cone):

\(\text{Volume of cone:} \ \dfrac{1}{3} \times \pi \times r^{2} \times h\)

[Where r and h are the radius and the height respectively.]

Part II: Determining the volume of the cone

Substitute their values into the formula to determine the volume of the cone.

    \(\implies \text{Volume of cone:} \ \dfrac{1}{3} \times \pi \times (9)^{2} \times (10)\)

∴ Let π be 3.14 ∴

    \(\implies\text{Volume of cone:} \ \dfrac{1}{3} \times 3.14 \times (9)^{2} \times (10)\)

Simplify the expression to determine the volume.

    \(\implies\text{Volume of cone:} \ \dfrac{1}{3} \times 3.14 \times 81 \times 10\)

    \(\implies\text{Volume of cone:} \ 3.14 \times 27 \times 10\)

    \(\implies\text{Volume of cone:} \ 31.4 \times 27\)

    \(\implies\text{Volume of cone} = 847.8 \ \text{yd}^{3} = \boxed{847.80 \ \text{yd}^{3}} \ \ \ \ \ \ \ \ (\text{Nearest hundredth)}\)

Let the number of accurate answers provided by Tom equal x.

The number of incorrect responses is ten.

Tim receives 4 marks for each right answer.

Marks deducted for wrong answers = 0.

Total Points = 76

When all of the above statements are combined, the equation

76 = 4 x + 10 * 0

4 x = Equals 76.

19 = x

The number of correct answers is 19

The number of incorrect responses equals ten.

Total number of questions = 19 + 10 = 29

The Probability of landing red during Elijah's turn is 0.20  

The probability of an event can be found by dividing the number of ways an event can occur by the total number of possible outcomes.

It is a measure of the likelihood that a specific event will occur, expressed as a number between 0 and 1.

Here we have

The spinner results are: red, yellow, blue, yellow, green, yellow, red, blue, green, red, yellow, blue, yellow, green

Total number of outcomes = 14

Number of outcomes getting red outcomes = 3

Hence,

the Probability of landing red during Elijah's turn

= 3/14 = 0.20

Therefore,

The Probability of landing red during Elijah's turn is 0.20

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In this problem, we need to find the equation and the graph of a parabola given the focus and the directrix.

Sometimes it's best to start with graphing the given information to determine if the graph is a horizontal or vertical parabola. So, we'll have:

Since the focus is always inside the parabola and the directrix is outside the parabola, we know this will be a vertical parabola. Depending on the text, this standard formula may look different. For our purposes, the standard form of a vertical parabola is:

Where (h,k) is the vertex.

The vertex is typically the same distance from both the focus and the directrix, so we can find the distance between them and divide by 2.

The vertex will be at (-2,3):

Now we can substitute the vertex into our standard form knowing (h,k) = (-2, 3):

Next, we need to find the value of p for our equation.

P is the distance from the vertex to the focus. Since our vertex is at (-2,3) and our focus is at (-2,4), the difference between the y-values shows a distance of 1.

Since p=1,

Our final graph is:

Answer:

y=½x-6

Step-by-step explanation:

m= ½

equation of the line: y-y1=m(x-x1)

y+5=½(x-2)

y=½x-6

Answer:

\(y =\dfrac{1}{2}x-6\)

Step-by-step explanation:

Point-slope formula

\(y-y_1=m(x-x_1)\)

where:

Given:

Substitute the given values into the formula:

\(\begin{aligned}y-y_1 & =m(x-x_1)\\\\\implies y-(-5) & =\dfrac{1}{2}(x-2)\\\\y+5 & =\dfrac{1}{2}x-1\\\\y & =\dfrac{1}{2}x-1-5\\\\y & =\dfrac{1}{2}x-6\end{aligned}\)

Answer: 4

Step-by-step explanation:

\(1.29=0.37+.23x\\\\.23x=0.92\\\\x=4\)

Answer:

4.35

Step-by-step explanation:

Answer:

4.35 kilo

Step-by-step explanation:

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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Using proportions, it is found that she must sell each necklace for at least $5.80 in order to make a profit of at least $250.

A proportion is a fraction of a total amount

In this problem, it costs her $40 to make 50 necklaces. She wants a profit of at least $250, hence the 50 necklaces should sell for at least $250 + $40 = $290.

Hence, the minimum price for each one is given by:

$290/50 = $5.80.

She must sell each necklace for at least $5.80 in order to make a profit of at least $250.

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The directional derivative of g in the direction of v at P is (5/√(51)) In(e+2).

To find the directional derivative of g(x, y, z) in the direction of v at the point P, we need to compute the dot product of the gradient of g at P with a unit vector in the direction of v.

First, let's find the gradient of g

∇g = (∂g/∂x, ∂g/∂y, ∂g/∂z)

∂g/∂x = In(y+2)

∂g/∂y = x/(y+2)

∂g/∂z = 0

Therefore, ∇g = (In(y+2), x/(y+2), 0).

At the point P = (4, e), we have y+2=e+2, so y=e.

So, ∇g = (In(e+2), 4/e, 0).

Next, we need to find a unit vector in the direction of v. To do this, we first calculate the magnitude of v

|v| = √((5)^2 + (-4)^2 + 4^2) = √(51)

Then, we can find a unit vector in the direction of v by dividing v by its magnitude

u = v/|v| = (5/√(51))i - (4/√(51))j + (4/√(51))k

Now we can calculate the directional derivative of g in the direction of v at P

D_v g(P) = ∇g(P) · u

= (In(e+2), 4/e, 0) · (5/√(51), -4/√(51), 4/√(51))

= (5/√(51)) In(e+2) - (16/√(51)) + (16/√(51))

= (5/√(51)) In(e+2)

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Answer: The area of the larger square is 9 times the area of the smaller square.

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Answer:

63cm

3 x 21 = 63

Answer: 63 cm

Step-by-step explanation: For every one cm deep, there is a further scale of 21 cm more. If the pond is 3 cm deep, then the scale would be 21 * 3, which is equivalent to 63.